A188958 T(n,k)=Number of nXk array permutations with each element moved no more than a city block distance of two.

1, 2, 2, 6, 24, 6, 14, 362, 362, 14, 31, 3969, 29172, 3969, 31, 73, 45288, 1722256, 1722256, 45288, 73, 172, 532224, 104735558, 504690017, 104735558, 532224, 172, 400, 6187928, 6513224285, 151700751624, 151700751624, 6513224285, 6187928, 400

Offset: 1

Author

R. H. Hardin Apr 14 2011

Keywords

• nonn
• tabl

Comments

Table starts

....1.........2..............6................14.................31

....2........24............362..............3969..............45288

....6.......362..........29172...........1722256..........104735558

...14......3969........1722256.........504690017.......151700751624

...31.....45288......104735558......151700751624....229188213745576

...73....532224.....6513224285....47085945014364.359214228037483580

..172...6187928...402549615544.14529766291673016

..400..71851073.24857280209008

..932.835579642

.2177

Examples

			Some solutions for 5X3
..0..3..1....0..3..1....0..3..1....0..3..1....0..3..1....0..3..1....0..3..1
..5..2.11....5..2..4....5..2..4....5..6..2....5..2..7....5..6..8....5..2.11
..4..7..8....7..9.10....6..8.14....9.13..8....4.11..8....4.13..2....4..8..7
.10.13.14....6..8.11...11..7..9....7..4.14....6.12.14...11.14..7....6.12.10
..6..9.12...12.14.13...10.13.12...12.10.11...10..9.13...10..9.12...14..9.13
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..59

Crossrefs

Column 1 is A002524